Stripe is fantastic at building interfaces and APIs for payment processing - the fact that they could lead the move away from CC's (on which they built their business up until now) is thrilling to me. Step 1!
I don't know Stripe enough to draw any conclusion on that, would you see Stripe becoming a Paypal like, where you could just have an account, link your CC, BTC, whatever you want, and then have a button "Pay with Stripe"?
We almost provide that today with Checkout. If you've used Checkout on a website before, you can easily pay on another site without entering your CC info again.
